University of KashanIranian Journal of Mathematical Chemistry2228-64892008-90152220111201A Survey on Omega Polynomial of Some Nano Structures165ENM.GhorbaniShahid Rajaee Teacher Training
University, I. R. Iranmghorbani@sru.ac.ir10.22052/ijmc.2011.5136Omega polynomial,Sadhana polynomial,Fullerene,Nanotubehttp://ijmc.kashanu.ac.ir/article_5136.htmlhttp://ijmc.kashanu.ac.ir/article_5136_c65ae1dfbe42970a246d14f5019602b5.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-64892008-90152220111201Remarks on Distance-Balanced Graphs6771ENM.TAVAKOLIUniversity of Tehran,
I. R. IranH.YOUSEFI-AZARIUniversity of Tehran,
I. R. Iran10.22052/ijmc.2011.5176Distance-balanced graphs are introduced as graphs in which every edge uv has the following property: the number of vertices closer to u than to v is equal to the number of vertices closer to v than to u. Basic properties of these graphs are obtained. In this paper, we study the conditions under which some graph operations produce a distance-balanced graph.Distance-balanced graphs,Graph operationhttp://ijmc.kashanu.ac.ir/article_5176.htmlhttp://ijmc.kashanu.ac.ir/article_5176_4ff1f772bd82877d5ad994685fccba27.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-64892008-90152220111201Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs7378ENA.ASTANEH-ASLIslamic Azad University, Arak Branch,
I. R. IranGH.H.FATH-TABARUniversity of Kashan,
I. R. Iran10.22052/ijmc.2011.5177Let G be a graph. The first Zagreb polynomial M1(G, x) and the third Zagreb polynomial M3(G, x) of the graph G are defined as:     ( ) ( , ) [ ] e uv E G G x x d(u) + d(v) M1 , ( , )  euvE(G) G x x|d(u) - d(v)| M3 . In this paper, we compute the first and third Zagreb polynomials of Cartesian product of two graphs and a type of dendrimers.Zagreb polynomial,Zagreb index,graphhttp://ijmc.kashanu.ac.ir/article_5177.htmlhttp://ijmc.kashanu.ac.ir/article_5177_d41d8cd98f00b204e9800998ecf8427e.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-64892008-90152220111201Wiener Index of a New Type of Nanostar Dendrimer7985ENZ.SADRI IRANIIslamic Azad University, Falavarjan
Branch, I. R. IranA.KARBASIOUNIslamic Azad University, Falavarjan
Branch, I. R. Iran10.22052/ijmc.2011.5215Let G be a molecular graph. The Wiener index of G is defined as the summation of all distances between vertices of G. In this paper, an exact formula for the Wiener index of a new type of nanostar dendrimer is given.Nanostar dendrimer,Molecular Graph,Wiener indexhttp://ijmc.kashanu.ac.ir/article_5215.htmlhttp://ijmc.kashanu.ac.ir/article_5215_7a81c85f695366a2e5f4ab1b29d769cf.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-64892008-90152220111201PI, Szeged and Revised Szeged Indices of IPR Fullerenes8799ENA.MOTTAGHIUniversity of Kashan,
I. R. IranZ.MEHRANIANUniversity of Kashan,
I. R. Iran10.22052/ijmc.2011.5216In this paper PI, Szeged and revised Szeged indices of an infinite family of IPR fullerenes with exactly 60+12n carbon atoms are computed. A GAP program is also presented that is useful for our calculations.IPR fullerene,Szeged index,Revised Szeged index,PI indexhttp://ijmc.kashanu.ac.ir/article_5216.htmlhttp://ijmc.kashanu.ac.ir/article_5216_10b5e3c03aaf7c3c4ca5df6cd7061d00.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-64892008-90152220111201A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes101108ENZ.YARAHMADIKhorramabad Branch, Islamic Azad University,
I. R. Iran10.22052/ijmc.2011.5217The first geometric-arithmetic index was introduced in the chemical theory as the summation of 2 du dv /(du  dv ) overall edges of the graph, where du stand for the degree of the vertex u. In this paper we give the expressions for computing the first geometric-arithmetic index of hexagonal systems and phenylenes and present new method for describing hexagonal system by corresponding a simple graph to each hexagonal system.Geometric-arithmetic index,Hexagonal system,Phenyleneshttp://ijmc.kashanu.ac.ir/article_5217.htmlhttp://ijmc.kashanu.ac.ir/article_5217_cf559f5adb428efd20c49b760ad4806e.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-64892008-90152220111201Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube109117ENS.MORADIArak University,
I. R. IranS.BABARAHIMArak University,
I. R. IranM.GHORBANIShahid Rajaee Teacher Training
University, I. R. Iran10.22052/ijmc.2011.5218The concept of geometric-arithmetic indices was introduced in the chemical graph theory. These indices are defined by the following general formula:     ( ) 2 ( ) uv E G u v u v Q Q Q Q GA G , where Qu is some quantity that in a unique manner can be associated with the vertex u of graph G. In this paper the exact formula for two types of geometric-arithmetic index of Vphenylenic nanotube are given.GA Index,V–phenylenic nanotubehttp://ijmc.kashanu.ac.ir/article_5218.htmlhttp://ijmc.kashanu.ac.ir/article_5218_e20ba02b0ff4677db54b056651f64a57.pdf